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January 30, 2015

January 30, 2015

Posted by **Marianne** on Wednesday, August 12, 2009 at 4:05pm.

- statistics -
**MathMate**, Wednesday, August 12, 2009 at 4:55pmThe following is a reproduction of the post in Western encoding:

"A random sample of n = 30 is drawn from a population that is normally distributed, and the sample variance is s² = 41.5. Use α = 0.05 in testing Η₀ : σ² = 29.0 versus Η₁ : σ² ≠ 29.0"

s²/σ² = 41.5/29 = 1.431

The Chi-squared statistic for α = 0.95 and df=30-1=29 is 42.6.

Thus 95% of the samples of size N=30 would be such that

s²/σ² < 42.6/29=1.469

Since 1.431 < 1.469, we conclude that

Η₀ : σ² = 29.0 is accepted for α = 0.05.

- statistics -
**Marianne**, Wednesday, August 12, 2009 at 6:22pmThank you MathMate

- statistics :) -
**MathMate**, Wednesday, August 12, 2009 at 6:42pmYou're welcome.

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